Maximum Power Transfer Calculator

✖Thevenin voltage defines the equivalent voltage using thenvenin's theorem.ⓘ Thevenin Voltage [V_th]			+10% -10%
✖Load Resistance is defined as the opposition provided to the electric current but the load connected to the circuit.ⓘ Load Resistance [R_L]			+10% -10%
✖Thevenin resistance is the resistance measured at terminals AB with all voltage sources replaced by short circuits and all current sources replaced by open circuits.ⓘ Thevenin Resistance [R_th]			+10% -10%

✖Maximum Power is defined as the maximum power that can be transferred from the input of the circuit to its output.ⓘ Maximum Power Transfer [P_m]

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Formula

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Maximum Power Transfer

Formula

`"P"_{"m"} = ("V"_{"th"}^2*"R"_{"L"})/("R"_{"L"}+"R"_{"th"})^2`

Example

`"21.08678W"=(("27.6V")^2*"18Ω")/("18Ω"+"7.5Ω")^2`

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Maximum Power Transfer Solution

STEP 0: Pre-Calculation Summary

Formula Used

Maximum Power = (Thevenin Voltage^2*Load Resistance)/(Load Resistance+Thevenin Resistance)^2
P_m = (V_th^2*R_L)/(R_L+R_th)^2
This formula uses 4 Variables

Variables Used

Maximum Power - (Measured in Watt) - Maximum Power is defined as the maximum power that can be transferred from the input of the circuit to its output.
Thevenin Voltage - (Measured in Volt) - Thevenin voltage defines the equivalent voltage using thenvenin's theorem.
Load Resistance - (Measured in Ohm) - Load Resistance is defined as the opposition provided to the electric current but the load connected to the circuit.
Thevenin Resistance - (Measured in Ohm) - Thevenin resistance is the resistance measured at terminals AB with all voltage sources replaced by short circuits and all current sources replaced by open circuits.

STEP 1: Convert Input(s) to Base Unit

Thevenin Voltage: 27.6 Volt --> 27.6 Volt No Conversion Required
Load Resistance: 18 Ohm --> 18 Ohm No Conversion Required
Thevenin Resistance: 7.5 Ohm --> 7.5 Ohm No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

P_m = (V_th^2*R_L)/(R_L+R_th)^2 --> (27.6^2*18)/(18+7.5)^2

Evaluating ... ...

P_m = 21.0867820069204

STEP 3: Convert Result to Output's Unit

21.0867820069204 Watt --> No Conversion Required

FINAL ANSWER

21.0867820069204 ≈ 21.08678 Watt <-- Maximum Power

(Calculation completed in 00.004 seconds)

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Created by ANKIT PAUL

BANGALORE INSTITUTE OF TECHNOLOGY (BIT), BANGALORE

ANKIT PAUL has created this Calculator and 9 more calculators!

Verified by Rachita C

BMS College Of Engineering (BMSCE), Banglore

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< 17 DC Circuits Calculators

Delta to Star Transformation

Go Star Impedance A = (Delta Impedance 1*Delta Impedance 3)/(Delta Impedance 1+Delta Impedance 2+Delta Impedance 3)

Star to Delta Transformation

Go Delta Impedance 1 = Star Impedance A+Star Impedance B+((Star Impedance A*Star Impedance B)/Star Impedance C)

Voltage Division for Two Capacitors

Go Capacitor 1 Voltage = Source Voltage*((Circuit Capacitance 2)/(Circuit Capacitance 1+Circuit Capacitance 2))

Voltage Division in Two Inductors

Go Inductor 1 Voltage = Source Voltage*((Circuit Inductance 1)/(Circuit Inductance 1+Circuit Inductance 2))

Current Division in Two Inductors

Go Inductor 1 Current = Source Current*((Circuit Inductance 2)/(Circuit Inductance 1+Circuit Inductance 2))

Maximum Power Transfer

Go Maximum Power = (Thevenin Voltage^2*Load Resistance)/(Load Resistance+Thevenin Resistance)^2

Voltage Divider for Two Resistors

Go Resistor 1 Voltage = Source Voltage*((Resistance 1)/(Resistance 1+Resistance 2))

Current Divider for Two Resistors

Go Resistor 1 Current = Source Current*((Resistance 2)/(Resistance 1+Resistance 2))

Current Division in Two Capacitors

Go Capacitor 1 Current = Source Current*((Circuit Capacitance 1)/(Circuit Capacitance 2))

Conductance given Resistivity

Go Conductance = Area of Conductor/(Length of Conductor*Resistivity)

Conductance given Current

Go Conductance = Current/Voltage

Resistance in DC Circuit

Go Resistance = Voltage/Current

Current in DC Circuits

Go Current = Voltage/Resistance

Voltage in DC Circuit

Go Voltage = Current*Resistance

Power in DC Circuit

Go Power = Voltage*Current

Energy in DC Circuit

Go Energy = Power*Time

Conductance in DC Circuit

Go Conductance = 1/Resistance

Maximum Power Transfer Formula

Maximum Power = (Thevenin Voltage^2*Load Resistance)/(Load Resistance+Thevenin Resistance)^2
P_m = (V_th^2*R_L)/(R_L+R_th)^2

Limitations of maximum power transfer theorem ?

Following are the limitations :
1. This theorem is applicable only for linear networks i.e, networks with R,L,C, transformer and linearly controlled dependent sources.
2. This theorem is applicable only when the load is variable .

How to Calculate Maximum Power Transfer?

Maximum Power Transfer calculator uses Maximum Power = (Thevenin Voltage^2*Load Resistance)/(Load Resistance+Thevenin Resistance)^2 to calculate the Maximum Power, The Maximum Power Transfer formula is defined as the maximum power provided to a load when given a system with known internal resistances or impedances. Maximum Power is denoted by P_m symbol.

How to calculate Maximum Power Transfer using this online calculator? To use this online calculator for Maximum Power Transfer, enter Thevenin Voltage (V_th), Load Resistance (R_L) & Thevenin Resistance (R_th) and hit the calculate button. Here is how the Maximum Power Transfer calculation can be explained with given input values -> 21.08678 = (27.6^2*18)/(18+7.5)^2.

FAQ

What is Maximum Power Transfer?

The Maximum Power Transfer formula is defined as the maximum power provided to a load when given a system with known internal resistances or impedances and is represented as P_m = (V_th^2*R_L)/(R_L+R_th)^2 or Maximum Power = (Thevenin Voltage^2*Load Resistance)/(Load Resistance+Thevenin Resistance)^2. Thevenin voltage defines the equivalent voltage using thenvenin's theorem, Load Resistance is defined as the opposition provided to the electric current but the load connected to the circuit & Thevenin resistance is the resistance measured at terminals AB with all voltage sources replaced by short circuits and all current sources replaced by open circuits.

How to calculate Maximum Power Transfer?

The Maximum Power Transfer formula is defined as the maximum power provided to a load when given a system with known internal resistances or impedances is calculated using Maximum Power = (Thevenin Voltage^2*Load Resistance)/(Load Resistance+Thevenin Resistance)^2. To calculate Maximum Power Transfer, you need Thevenin Voltage (V_th), Load Resistance (R_L) & Thevenin Resistance (R_th). With our tool, you need to enter the respective value for Thevenin Voltage, Load Resistance & Thevenin Resistance and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

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